Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200p |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22400000000000000 = 219 · 514 · 7 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140300,18902000] |
[a1,a2,a3,a4,a6] |
j |
74565301329/5468750 |
j-invariant |
L |
0.74649001346379 |
L(r)(E,1)/r! |
Ω |
0.37324500673189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11200bu3 350a4 100800fn3 2240f4 |
Quadratic twists by: -4 8 -3 5 |